Edgard A. Pimentel

activity

20132023

most citedLocal regularity for mean-field games in the whole space

20 citations · 31 across the 20 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023

Transmission problems: regularity theory, interfaces and beyond

Vincenzo Bianca, Edgard A. Pimentel, José Miguel Urbano

Modelling diffusion processes in heterogeneous media requires addressing inherent discontinuities across interfaces, where specific conditions are to be met. These challenges fall…

math.AP2023

Improved regularity for a Hessian-dependent functional

Vincenzo Bianca, Edgard A. Pimentel, José Miguel Urbano

We prove that minimizers of the $L^{d}$ -norm of the Hessian in the unit ball of $R^{d}$ are locally of class $C^{1, α}$ . Our findings extend previous results on Hessian-depen…

math.AP2023★ 1 cited

BMO-regularity for a degenerate transmission problem

Vincenzo Bianca, Edgard A. Pimentel, José Miguel Urbano

We examine a transmission problem driven by a degenerate quasilinear operator with a natural interface condition. Two aspects of the problem entail genuine difficulties in the anal…